Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2001-05-03
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
RevTex, 14 pages, 4 figures (minor corrections)
Scientific paper
10.1103/PhysRevB.64.155301
There is growing experimental and theoretical evidence that very clean two dimensional electron systems form unidirectional charge density waves (UCDW) or ``striped'' states at low temperatures and at Landau level filling fractions of the form nu = M + x with 4 < M < 10 an integer and 0.4 < x < 0.6. Following previous work, we model the striped state using a Hartree-Fock approach. We construct the low energy excitations of the system by making smooth deformations of the stripe edges analogous to the construction of edge state excitations of quantum Hall droplets. These low energy excitations are described as a coupled Luttinger liquid theory, as discussed previously by MacDonald and Fisher (PRB61 5724 2000). Here, we extend that work and explicitly derive all of the parameters of this low energy theory using a Hartree Fock approach. We also make contact with the equivalent low energy hydrodynamic approach of Fogler and Vinokur (PRL84 5828 2000) and similarly derive the parameters of this theory. As examples of the use of these results, we explicitly calculate the low-energy excitation spectrum and study tunneling into the striped state.
Halperin Bertrand I.
Lopatnikova Anna
Simon Steven H.
Wen Xiao Gang
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